It was proved in [1]}, [2]} that
if \(\xi \)  is a Gibbs process with PI \(\kappa \)  then
\(\kappa _m(\cdot ,\xi )\)  is almost surely symmetric for each \(m\in {\mathbb {N}}\) ,
\(\mathbb {P}(Z_B(\xi _{B^c})<\infty )=1,\quad B\in {\mathcal {X}}_0,\) 
